The principal eigenvalue of the $\infty$-Laplacian with the Neumann boundary condition
Analysis of PDEs
2008-06-03 v1
Abstract
We prove the existence of a principal eigenvalue associated to the -Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.
Keywords
Cite
@article{arxiv.0806.0342,
title = {The principal eigenvalue of the $\infty$-Laplacian with the Neumann boundary condition},
author = {Stefania Patrizi},
journal= {arXiv preprint arXiv:0806.0342},
year = {2008}
}